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Finding the Third Proportional to 237,211 and 516,539

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Solution

The third proportional to 237,211 and 516,539 is: 1,124,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,211 : 516,539 = 516,539 : x
  2. Step 2: Convert to fraction form
    237,211/516,539 = 516,539/x
  3. Step 3: Cross multiply
    237,211x = 516,539 × 516,539
  4. Step 4: Simplify right side
    237,211x = 266,812,538,521
  5. Step 5: Solve for x
    x = 266,812,538,521/237,211
  6. Step 6: Final answer
    x = 1,124,789.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.